Datasets:
tasksource
/
logical-entailment

Dataset card Data Studio Files
xet
Community
A
stringlengths
4
41
B
stringlengths
4
41
E
int64
0
1
H1
int64
0
1
H2
int64
0
1
H3
int64
0
1
label
stringclasses
2 values
~((~(q)|~(m)))
((z>q)|((z|d)>e))
1
1
0
0
entailment
((~((z>g))&(x&z))&x)
((~(m)>g)>z)
1
1
0
0
entailment
~((~(q)|~(m)))
((~(m)>g)>z)
0
1
0
0
not entailment
((~((z>g))&(x&z))&x)
((z>q)|((z|d)>e))
0
1
0
0
not entailment
~(((e&e)&(x|(e|d))))
((((w>(d&g))&z)&e)>((e&(m|m))>(q&z)))
1
0
0
0
entailment
((((~(x)>m)|(m|z))&(z&d))&(z&d))
(((d|q)|(g&((q|g)&x)))|(m|g))
1
1
0
0
entailment
~(((e&e)&(x|(e|d))))
(((d|q)|(g&((q|g)&x)))|(m|g))
0
0
0
0
not entailment
((((~(x)>m)|(m|z))&(z&d))&(z&d))
((((w>(d&g))&z)&e)>((e&(m|m))>(q&z)))
0
0
0
0
not entailment
((e|a)>((~(v)&q)&z))
(z|(e>q))
1
1
1
1
entailment
((p|(a&v))&~((~(z)>(q&z))))
(((z&a)|(~(e)|((e|p)>a)))>(z>(z>v)))
1
0
0
0
entailment
((e|a)>((~(v)&q)&z))
(((z&a)|(~(e)|((e|p)>a)))>(z>(z>v)))
0
0
0
0
not entailment
((p|(a&v))&~((~(z)>(q&z))))
(z|(e>q))
0
1
0
0
not entailment
((q|(z>v))>((a&(z&p))&v))
(((e&v)&(((p|z)>p)|((p&(p>e))&v)))>(z&e))
1
0
0
0
entailment
((~(v)>z)&(((e&v)&a)&e))
(~(((p&a)>e))|e)
1
1
0
0
entailment
((q|(z>v))>((a&(z&p))&v))
(~(((p&a)>e))|e)
0
1
0
0
not entailment
((~(v)>z)&(((e&v)&a)&e))
(((e&v)&(((p|z)>p)|((p&(p>e))&v)))>(z&e))
0
0
0
0
not entailment
(a&(z&~(~((q&e)))))
((((a>v)&p)&((a>a)&p))|((a|v)|((v>a)&a)))
1
0
0
0
entailment
(~(a)&(((e>z)&(p|~(p)))|q))
(~(a)|p)
1
1
1
1
entailment
(a&(z&~(~((q&e)))))
(~(a)|p)
0
1
0
0
not entailment
(~(a)&(((e>z)&(p|~(p)))|q))
((((a>v)&p)&((a>a)&p))|((a|v)|((v>a)&a)))
0
0
0
0
not entailment
(z&~((q|p)))
(((z|a)>p)>(q|q))
1
0
0
0
entailment
(((e>(q|q))|q)&~(~(p)))
~((~((~(~(v))>p))&((v|(v&z))|q)))
1
0
0
0
entailment
(z&~((q|p)))
~((~((~(~(v))>p))&((v|(v&z))|q)))
0
0
0
0
not entailment
(((e>(q|q))|q)&~(~(p)))
(((z|a)>p)>(q|q))
0
1
0
0
not entailment
(~((v&z))>~((p>((a>q)>(~((q&z))>a)))))
(p|z)
1
1
1
1
entailment
~((~((v&a))>z))
(z>(a&q))
1
1
0
0
entailment
(~((v&z))>~((p>((a>q)>(~((q&z))>a)))))
(z>(a&q))
0
1
1
0
not entailment
~((~((v&a))>z))
(p|z)
0
1
0
0
not entailment
(p&((q&p)&z))
(q&p)
1
1
1
1
entailment
(~((((p|v)&v)&z))&(a&p))
~((~(((p&e)>(a|a)))&v))
1
1
0
0
entailment
(p&((q&p)&z))
~((~(((p&e)>(a|a)))&v))
0
0
0
0
not entailment
(~((((p|v)&v)&z))&(a&p))
(q&p)
0
1
0
0
not entailment
(~((e>(z>a)))&(v&q))
(~(v)|q)
1
1
1
0
entailment
((z>z)&p)
(q>(((e>q)>(p&v))|p))
1
0
0
0
entailment
(~((e>(z>a)))&(v&q))
(q>(((e>q)>(p&v))|p))
0
1
0
0
not entailment
((z>z)&p)
(~(v)|q)
0
1
0
0
not entailment
~((((z>(~(v)|~(z)))&e)>(((z>a)|q)|p)))
(z>(z&(v>(a|q))))
1
1
1
0
entailment
((p&q)|((e&p)&z))
(~(((p>~((a>v)))>p))>(a&v))
1
0
0
0
entailment
~((((z>(~(v)|~(z)))&e)>(((z>a)|q)|p)))
(~(((p>~((a>v)))>p))>(a&v))
0
1
1
0
not entailment
((p&q)|((e&p)&z))
(z>(z&(v>(a|q))))
0
1
0
0
not entailment
~(~(p))
((~(~(q))&(a>p))|p)
1
0
0
0
entailment
((a|z)|(e&((q&(a|a))|e)))
((a|p)>~(~((e|((~(q)>q)|(a|z))))))
1
0
0
0
entailment
~(~(p))
((a|p)>~(~((e|((~(q)>q)|(a|z))))))
0
0
0
0
not entailment
((a|z)|(e&((q&(a|a))|e)))
((~(~(q))&(a>p))|p)
0
1
0
0
not entailment
(((~(z)>q)&~(~((q&p))))&~((v|(v&z))))
(a|q)
1
1
0
0
entailment
(~(q)|(a&~((q|(z|a)))))
~((z&q))
1
1
1
1
entailment
(((~(z)>q)&~(~((q&p))))&~((v|(v&z))))
~((z&q))
0
1
1
0
not entailment
(~(q)|(a&~((q|(z|a)))))
(a|q)
0
1
1
0
not entailment
~((a>(p>((((q&z)&a)|v)|v))))
((z|a)|(e|((q|v)>((q&z)&(e|q)))))
1
0
0
0
entailment
(((e&(e|v))|((v|(a>q))&z))>((z&v)|z))
(e>z)
1
1
1
1
entailment
~((a>(p>((((q&z)&a)|v)|v))))
(e>z)
0
1
0
0
not entailment
(((e&(e|v))|((v|(a>q))&z))>((z&v)|z))
((z|a)|(e|((q|v)>((q&z)&(e|q)))))
0
1
1
0
not entailment
(((z>v)&e)&q)
(~(~(((z|q)&(q>z))))>((z|q)>(v&(v|z))))
1
0
1
0
entailment
(~(v)&a)
~((((q>q)|~(e))&v))
1
0
0
0
entailment
(((z>v)&e)&q)
~((((q>q)|~(e))&v))
0
0
1
0
not entailment
(~(v)&a)
(~(~(((z|q)&(q>z))))>((z|q)>(v&(v|z))))
0
0
0
0
not entailment
((a>~(e))>~((~((q&a))>~(q))))
((q|q)|((a&v)|a))
1
1
0
0
entailment
(~(((z|p)|a))&v)
((p>((a&e)>a))>~(((z&p)|p)))
1
0
0
0
entailment
((a>~(e))>~((~((q&a))>~(q))))
((p>((a&e)>a))>~(((z&p)|p)))
0
1
0
0
not entailment
(~(((z|p)|a))&v)
((q|q)|((a&v)|a))
0
1
0
0
not entailment
(~(~(~(((q&q)&q))))&a)
((e|q)|a)
1
1
0
0
entailment
~(((p>z)|q))
~((((~(e)|~(p))&a)&z))
1
0
0
0
entailment
(~(~(~(((q&q)&q))))&a)
~((((~(e)|~(p))&a)&z))
0
1
0
0
not entailment
~(((p>z)|q))
((e|q)|a)
0
1
0
0
not entailment
((q&~(z))&(~(e)&((v>v)&~(z))))
(q|a)
1
1
0
0
entailment
~(p)
~(((q&p)&((~((v&v))>(z&p))>v)))
1
0
0
0
entailment
((q&~(z))&(~(e)&((v>v)&~(z))))
~(((q&p)&((~((v&v))>(z&p))>v)))
0
1
0
0
not entailment
~(p)
(q|a)
0
1
0
0
not entailment
(h&(f|h))
(k>(((m>s)|i)|(h|h)))
1
0
0
0
entailment
((h&h)>m)
((~((h>m))>(s>i))|~(~(((f>i)>m))))
1
0
0
0
entailment
(h&(f|h))
((~((h>m))>(s>i))|~(~(((f>i)>m))))
0
0
0
0
not entailment
((h&h)>m)
(k>(((m>s)|i)|(h|h)))
0
0
0
0
not entailment
(s&k)
(s|~(((m|(s|h))>(k&m))))
1
0
0
0
entailment
((f&k)&m)
((i|h)>m)
1
1
0
0
entailment
(s&k)
((i|h)>m)
0
0
0
0
not entailment
((f&k)&m)
(s|~(((m|(s|h))>(k&m))))
0
0
0
0
not entailment
((~((s|s))>s)|(m&(f>s)))
((((h|(h&k))&s)>(i>s))&(s|m))
1
0
0
0
entailment
(k&(k&~(m)))
(~(~((i>(s|k))))|((s&k)&s))
1
0
0
0
entailment
((~((s|s))>s)|(m&(f>s)))
(~(~((i>(s|k))))|((s&k)&s))
0
0
0
0
not entailment
(k&(k&~(m)))
((((h|(h&k))&s)>(i>s))&(s|m))
0
0
0
0
not entailment
(~((h&k))&(h&(s&m)))
((s&m)&((k|h)>~(~(((h|(h|h))>m)))))
1
0
1
1
entailment
((k&f)&((f>m)&~((s&~(s)))))
~((((i&k)|k)>~((f|h))))
1
1
0
0
entailment
(~((h&k))&(h&(s&m)))
~((((i&k)|k)>~((f|h))))
0
0
0
0
not entailment
((k&f)&((f>m)&~((s&~(s)))))
((s&m)&((k|h)>~(~(((h|(h|h))>m)))))
0
0
0
0
not entailment
((f>m)&k)
(((i&k)|k)|~((h>(((f&(f|m))|f)&f))))
1
0
0
0
entailment
~(((i&f)>(k|m)))
(~(m)>(~(((m>f)>~(i)))|(s&(i>k))))
1
0
0
0
entailment
((f>m)&k)
(~(m)>(~(((m>f)>~(i)))|(s&(i>k))))
0
0
0
0
not entailment
~(((i&f)>(k|m)))
(((i&k)|k)|~((h>(((f&(f|m))|f)&f))))
0
0
0
0
not entailment
~((~((s&(k&i)))|~(~(~(m)))))
((~(((k>~(m))|i))|i)>s)
1
1
1
0
entailment
(~(k)&((m&f)&h))
((f>h)|h)
1
1
1
0
entailment
~((~((s&(k&i)))|~(~(~(m)))))
((f>h)|h)
0
1
0
0
not entailment
(~(k)&((m&f)&h))
((~(((k>~(m))|i))|i)>s)
0
0
0
0
not entailment
((i&i)&(k|s))
(((~((m&h))&~(i))>s)|k)
1
0
0
0
entailment
(h&(f>~((s>h))))
~(~((~(~(m))|h)))
1
0
0
0
entailment
((i&i)&(k|s))
~(~((~(~(m))|h)))
0
0
0
0
not entailment
(h&(f>~((s>h))))
(((~((m&h))&~(i))>s)|k)
0
0
0
0
not entailment
((((k>k)|(f&i))&h)&s)
(h&(((h>m)>m)|s))
1
1
0
0
entailment
((h>(h|h))>(m&((h&s)>h)))
((h>m)|m)
1
1
1
1
entailment
((((k>k)|(f&i))&h)&s)
((h>m)|m)
0
1
0
0
not entailment
((h>(h|h))>(m&((h&s)>h)))
(h&(((h>m)>m)|s))
0
1
1
0
not entailment